1. Find the roots of f(x) = x2 – 5x + 6.

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1 1. Find the roots of f(x) = x2 – 5x + 6.1 and 5 B. –2 and –3C. 2 and 3 D. There are no roots.2. Find the solutions of 6m2 – m = 12.and B andand D. There are no solutions.3. What are the zeroes of f(x) = 4x2 + 4x – 35C and D. There are no zeroes.

10 14. What is(are) the x-intercept(s) of y = 3x2 + 6x – 45?A. 3 and –5 B. 5 and – C. –45 D. (–1, –48)15. What is(are) the y-intercept(s) of y = x2 + 4x + 2?A. 2 and –2 B. –2 C. 2 D. (–2, –2)16. The curve y = –2x2 – 6x – 4A. has a maximum because the coefficient of the squared term isnegative.B. has a minimum because the coefficient of the squared term isC. has a maximum because the coefficient of the x term is negative.D. has a minimum because the coefficient of the x term is negative.

11 17. What is the range of the function f(x) = –4x2 + 3?A. all real numbers less than or equal to 3B. all real numbers greater than or equal to 3C. all integers less than or equal to 3D. all integers greater than or equal to 318. Which best describes the solution(s) of x2 – 2x + 2 = 0?A. no real solutionsB. 2 positive solutionsC. 1 positive and 1 negative solutionD. 2 negative solutions

17 32. From the top of a 200-foot tall building, a flare is launched straightup with an initial velocity of 64 feet per second. The height h aftert seconds is given by h = –16t2 + 64t How many seconds doesit take for the flare to reach its maximum height?A. 2 seconds B. 6 seconds C. 3 seconds D. 4 seconds33. From the top of a 200-foot tall building, a flare is launched straightit take for the flare to be even with the top of the building?

18 34. From the top of a 200-foot tall building, a flare is launched straightup with an initial velocity of 64 feet per second. The height h aftert seconds is given by h = –16t2 + 64t To the nearest second,how many seconds does it take for the flare to hit the ground?A. 2 seconds B. 6 seconds C. 3 seconds D. 4 seconds35. Sam is fencing in a dog pen along a wall of his house. He has 80 feetof fencing. What is the value of x that would provide the greatestpossible area?A feetB. 40 feetC. 20 feetD feet

19 36. Sam is fencing in a dog pen along a wall of his house 36. Sam is fencing in a dog pen along a wall of his house. He has 80 feetof fencing. What is the greatest possible area?A. 400 feet2 B feet2C feet D. 800 feet237. Last year, the SportsTime Athletic Club charged $20 to participate inan aerobics class. Seventy people attended the classes. The clubwants to increase the class price this year. They expect to lose onecustomer for each $1 increase in the price. How much should theclub increase the charge to maximize the income from the aerobicsclasses?A. $ B. $45 C. $ D. $70

20 38. Last year, the SportsTime Athletic Club charged $20 to participate inan aerobics class. Seventy people attended the classes. The clubwants to increase the class price this year. They expect to lose onecustomer for each $1 increase in the price. What price should theclub charge to maximize the income from the aerobics classes?A. $ B. $45 C. $ D. $7039. Last year, the SportsTime Athletic Club charged $20 to participate inwants to increase the class price this year. What is the maximumincome the SportsTime Athletic Club can expect to make?A. $ B. $625 C. $ D. $3025

21 40. Last year, the SportsTime Athletic Club charged $20 to participate inan aerobics class. Seventy people attended the classes. The clubwants to increase the class price this year. They expect to lose onecustomer for each $1 increase in the price. What increase wouldresult in the club making no profit?$ B. $45 C. $ D. $7041. Paul uses the function y = –9x2 + 90x – 189 to model the profitsmade from selling cookies, where y is the profit in dollars and x isthe month (x = 1 represents January). Which months is a profitpredicted?A. January, February, March B. March. April, MayC. October, November, December D. April, May, June

23 44. Paul uses the function y = –9x2 + 90x – 189 to model the profitsmade from selling cookies, where y is the profit in dollars and x isthe month (x = 1 represents January). What is the maximum profitpredicted?A. $ B. $414C. $ D. $27045. Rodeo Rodney wants to fence in his horses in a rectangular region.He has a 500-foot roll of fencing and a large field. What is the lengthof the rectangle that would maximize the area?A. 50 feet B. 125 feet C. 25 feet D. 250 feet

24 46. Rodeo Rodney wants to fence in his horses in a rectangular region.He has a 500-foot roll of fencing and a large field. What is themaximum area of the fenced in region?A. 625 square feet B. 62,500 square feetC. 15,625 square feet D square feet47. You have a 1200-foot roll of fencing. You want to make twopaddocks by splitting a rectangular enclosure in half. What is thewidth of the enclosure with the largest area?A. 300 feetB. 120 feetC. 400 feetD feet

25 48. You have a 1200-foot roll of fencing. You want to make twopaddocks by splitting a rectangular enclosure in half. What is themaximum area of the enclosure?A. 80,000 square feetB. 90,000 square feetC. 60,000 square feetD. 14,400 square feetYour factory produces lemon-scented widgets. You know that if eachunit is cheaper, the more you can produce. But you also know thatcosts will eventually go up if you make too many widgets, due to thecost of storage of the overstock. The accountant says that your cost,C, in dollars for producing x thousands of units a day can beapproximated by the formula C = 0.04x2 – 8.504x Find thedaily production level that will minimize your costs. A units B unitsC. 10,630 units D. 106,300 units

26 50. Your factory produces lemon-scented widgets. You know that if eachunit is cheaper, the more you can produce. But you also know thatcosts will eventually go up if you make too many widgets, due to thecost of storage of the overstock. The accountant says that your cost,C, in dollars for producing x thousands of units a day can beapproximated by the formula C = 0.04x2 – 8.504x Find theminimum cost for producing your widgets.$237, B. $24,850C. $61, D. $4,454,780

27 51. George runs a canoe-rental business on the Tar River. He currentlycharges $12 per canoe and averages 36 rentals a day. An industryjournal says that, for very fifty-cent increase in rental price, theaverage business can expect to lose two rentals per day. What shouldGeorge charge to maximize his income?A. $ B. $ C. $ D. $952. George runs a canoe-rental business on the Tar River. He currentlyaverage business can expect to lose two rentals per day. What is themaximum income per day?A. $ B. $405 C. $495 D. $351

28 53. A local grocery store has plans to construct a rectangular parking loton land that is bordered on one side by a highway. There are 1280feet of fencing available to enclose the other 3 sides. Let x representthe length of the two parallel sides of fencing. Find the dimensionsthat will maximize the area of the parking lot.480 ft. by 160 ft B. 640 ft. by 320 ft.C. 320 ft. by 320 ft. D. 960 ft. by 160 ft.54. A local grocery store has plans to construct a rectangular parking lotthe length of the two parallel sides of fencing. Find the maximumarea of the parking lot.204,800 square feet B. 76,800 square ft.C. 921,600 square ft. D. 102,400 square ft.

29 55. The height h (in feet) of a baseball t seconds after being hit is givenby h(t) = –16t2 + 80t + 3. How many seconds will it take the baseballto reach its maximum height?A. 2 seconds B. 2.5 seconds C. 3 seconds D. 3.5 seconds56. The height h (in feet) of a baseball t seconds after being hit is givenby h(t) = –16t2 + 80t + 3. What is the maximum height of thebaseball?A. 3 feet B. 99 feet C. 103 feet D. 125 feet57. The height h (in feet) of a baseball t seconds after being hit is givenby h(t) = –16t2 + 80t + 3. What is the height of the baseball uponimpact with the bat?

30 58. From 4 feet above a swimming pool, Susan throws a volleyballupward with a velocity of 32 feet per second. The height h(t) of theball t seconds after Susan throws it is given by h(t) = –16t2 + 32t + 4.How many seconds will it take the volleyball to reach its maximumheight?1 seconds B. 1.5 seconds C. 2 seconds D. 2.5 seconds59. From 4 feet above a swimming pool, Susan throws a volleyballWhat is the maximum height of the baseball?A. 52 feet B. 100 feet C. 20 feet D. 4 feet

31 60. From 4 feet above a swimming pool, Susan throws a volleyballupward with a velocity of 32 feet per second. The height h(t) of theball t seconds after Susan throws it is given by h(t) = –16t2 + 32t + 4.How many seconds will it take the ball to be level with Susan?1 seconds B. 1.5 seconds C. 2 seconds D. 2.5 seconds61. From 4 feet above a swimming pool, Susan throws a volleyballTo the nearest hundredth, how many seconds will it take the ball tohit the water?1.36 seconds B secondsC seconds D seconds

32 62. There is a hostile alien UFO hovering over Greenville at an altitudeof 9,600 feet. Greenville Police plans to shoot it down. The weaponthey will use is capable of firing with an initial velocity of 980 feetper second. The height of the bullet t seconds after firing is found bythe function h(t) = –16t t. What is the maximum height of thebullet’s trajectory? Is it possible for the bullet to hit the UFO?15,376 feet, No B. 8,320 feet, YesC. 8,320 feet, No D. 15,376 feet, Yes63. There is a hostile alien UFO hovering over Greenville at an altitudethe function h(t) = –16t t. How many seconds will it take forthe bullet to reach its maximum height?A. 12 seconds B. 31 seconds C. 62 seconds D. 47 seconds

33 64. There is a hostile alien UFO hovering over Greenville at an altitudeof 9,600 feet. Greenville Police plans to shoot it down. The weaponthey will use is capable of firing with an initial velocity of 980 feetper second. The height of the bullet t seconds after firing is found bythe function h(t) = –16t t. How many seconds will it take forthe bullet to hit its target?A. 12 seconds B. 31 seconds C. 62 seconds D. 47 seconds65. There is a hostile alien UFO hovering over Greenville at an altitudethe function h(t) = –16t t. If Deputy Dead-eye can’t aimcorrectly and misses the UFO, how many seconds will it take for thebullet to hit the ground?